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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 16, , Polynomials, , Chap 2, , CHAPTER 2, POLYNOMIALS, 1., , If one zero of a quadratic polynomial (kx2 + 3x + k) is, 2, then the value of k is, (a) 56, , 2, then the value of k is, (a) 10, , (b) - 56, , (c) - 7, , (c), , (d) - 2, , (b) - 10, , 6, 5, , (d) -, , 6, 5, , Sol : www.cbse.site/ma/bm104, Sol : www.cbse.site/ma/bm101, 5., 2., , The graph of a polynomial is shown in Figure, then, the number of its zeroes is, , The quadratic polynomial, the sum of whose zeroes, is - 5 and their product is 6, is, (a) x2 + 5x + 6, (b) x2 - 5x + 6, (c) x2 - 5x - 6, (d) - x2 + 5x + 6, Sol : www.cbse.site/ma/bm105, , 6., , If one zero of the polynomial (3x2 + 8x + k) is the, reciprocal of the other, then value of k is, (a) 3, , (a) 3, , (b) - 3, , (b) 1, , (c), , (c) 2, , (d) - 13, , (d) 4, , 1, 3, , Sol : www.cbse.site/ma/bm106, Sol : www.cbse.site/ma/bm102, 7., 3., , The maximum number of zeroes a cubic polynomial, can have, is, (a) 1, , (b) - m, m + 3, (c) m, - (m + 3), , (b) 4, , (d) - m, - (m + 3), , (c) 2, (d) 3, Sol : www.cbse.site/ma/bm103, 4., , If one zero of the quadratic polynomial x2 + 3x + k is, , The zeroes of the polynomial x2 - 3x - m (m + 3) are, (a) m, m + 3, , Sol : www.cbse.site/ma/bm107, 8., , The value of x , for which the polynomials x2 - 1 and, x2 - 2x + 1 vanish simultaneously, is, (a) 2

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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, (b) - 2, , Polynomials, , (c) - 1, , then the value of p is, (a) ! 9, , (d) 1, , (b) ! 12, , Page 17, , (c) ! 15, Sol : www.cbse.site/ma/bm108, 9., , If a and b are zeroes and the quadratic polynomial, f ^x h = x2 - x - 4 , then the value of 1 + 1 - ab is, a b, (a) 154, (b) - 154, (c) 4, (d) 15, Sol : www.cbse.site/ma/bm109, , 10. The value of the polynomial x8 - x5 + x2 - x + 1 is, (a) positive for all the real numbers, (b) negative for all the real numbers, (c) 0, (d) depends on value of x, Sol : www.cbse.site/ma/bm110, 11. Lowest value of x2 + 4x + 2 is, (a) 0, (b) - 2, , (d) ! 18, Sol : www.cbse.site/ma/bm113, 14. If one of the zeroes of the quadratic polynomial, ^k - 1h x2 + kx + 1 is - 3 , then the value of k is, (a) 4, 3, (b) - 4, 3, 2, (c), 3, (d) - 2, 3, Sol : www.cbse.site/ma/bm114, 15. A quadratic polynomial, whose zeroes are - 3 and, 4, is, (a) x2 - x + 12, (b) x2 + x + 12, 2, (c) x - x - 6, 2 2, (d) 2x2 + 2x - 24, , Sol : www.cbse.site/ma/bm115, , (c) 2, (d) 4, Sol : www.cbse.site/ma/bm111, , 16. If the zeroes of the quadratic, x2 + ^a + 1h x + b are 2 and - 3 , then, , polynomial, , (a) a =- 7, b =- 1, (b) a = 5, b = - 1, , 12. If the sum of the zeroes of the polynomial, f ^x h = 2x3 - 3kx2 + 4x - 5 is 6, then the value of k is, (a) 2, (b) - 2, , (c) a = 2, b = - 6, (d) a = 0, b = - 6, Sol : www.cbse.site/ma/bm116, , (c) 4, (d) - 4, Sol : www.cbse.site/ma/bm112, , 17. The zeroes of the quadratic polynomial x2 + 99x + 127, are, (a) both positive, (b) both negative, , 13. If the square of difference of the zeroes of the, quadratic polynomial x2 + px + 45 is equal to 144,, , (c) one positive and one negative, (d) both equal

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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 18, , Polynomials, , Chap 2, , Sol : www.cbse.site/ma/bm117, 18. The zeroes of the quadratic polynomial x2 + kx + k, where k ! 0 ,, (a) cannot both be positive, (b) cannot both be negative, (c) are always unequal, (d) are always equal, Sol : www.cbse.site/ma/bm118, 19. If the zeroes of the quadratic polynomial ax2 + bx + c,, where c ! 0 , are equal, then, (a) c and a have opposite signs, (b) c and b have opposite signs, (c) c and a have same sign, (d) c and b have the same sign, Sol : www.cbse.site/ma/bm119, , Sol : www.cbse.site/ma/bm121, 22. Assertion : ^2 - 3 h is one zero of the quadratic, polynomial then other zero will be ^2 + 3 h ., Reason : Irrational zeros (roots) always occurs in, pairs., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., , 20. If one of the zeroes of a quadratic polynomial of the, form x2 + ax + b is the negative of the other, then it, (a) has no linear term and the constant term is, negative., (b) has no linear term and the constant term is, positive., (c) can have a linear term but the constant term is, negative., (d) can have a linear term but the constant term is, positive., Sol : www.cbse.site/ma/bm120, 21. Which of the following is not the graph of a quadratic, polynomial?, , (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/bm122, 23. Assertion : If one zero of poly-nominal, p _x i = ^k2 + 4h x2 + 13x + 4k is reciprocal of other,, then k = 2 ., Reason : If ^x - a h is a factor of p ^x h , then p ^ah = 0, i.e. a is a zero of p _x i ., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/bm123, 24. Assertion : p ^x h = 14x3 - 2x2 + 8x 4 + 7x - 8 is a, polynomial of degree 3., Reason : The highest power of x in the polynomial, p ^x h is the degree of the polynomial., (a) Both assertion (A) and reason (R) are true and

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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, reason (R) is the correct explanation of assertion, (A)., , Page 19, , variable x , is as follows., , (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/bm124, 25. Assertion : x3 + x has only one real zero., Reason : A polynomial of n th degree must have n, real zeroes., (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/bm125, , The number of zeroes of p (x) is .......... ., (a) 2, (b) 3, (c) 4, (d) 5, Sol : www.cbse.site/ma/bm127, 28. If one root of the equation (k - 1) x2 - 10x + 3 = 0, is the reciprocal of the other then the value of k is, ........., (a) 2, (b) 3, , 26. Assertion : If both zeros of the quadratic polynomial, x2 - 2kx + 2 are equal in magnitude but opposite in, sign then value of k is ½., Reason : Sum of zeros of a quadratic polynomial, ax2 + bx + c is -ab, (a) Both assertion (A) and reason (R) are true and, reason (R) is the correct explanation of assertion, (A)., (b) Both assertion (A) and reason (R) are true but, reason (R) is not the correct explanation of, assertion (A)., (c) Assertion (A) is true but reason (R) is false., , (c) 4, (d) 5, Sol : www.cbse.site/ma/bm128, 29. If a and b are the roots of ax2 - bx + c = 0 (a ! 0),, then value of a + b is, (a) ab, (b), (c), (d), , a, b, 2a, b, a, 2b, , (d) Assertion (A) is false but reason (R) is true., Sol : www.cbse.site/ma/bm129, Sol : www.cbse.site/ma/bm126, 30. In given figure, the graph of a polynomial p (x) is, 27. The graph of y = p (x), where p (x) is a polynomial in

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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 20, , Polynomials, , shown. The number of zeroes of p (x) will be, , Chap 2, , then other zero is, (a) 4, (b) 8, (c) 1, (d) –4, Sol : www.cbse.site/ma/bm133, 34. If a and b are the zeroes the polynomial 2x2 - 4x + 5,, the value of a2 + b2 is, (a) - 7, (b) 1, (c) - 1, (d) - 6, Sol : www.cbse.site/ma/bm134, 35. If zeroes of the polynomial x2 + 4x + 2a are a and 2 ,, a, then the value of a is, (a) 1, , (a) 1, (b) 2, (c) 3, , (b) 2, , (d) 4, , (c) 3, , Sol : www.cbse.site/ma/bm130, , (d) 4, Sol : www.cbse.site/ma/bm135, , 31. If sum of the zeroes of the quadratic polynomial, 3x2 - kx + 6 is 3, then the value of k will be, (a) 1, (b) 4, , (b) 1 and 3, , (c) 6, , (c) 0 and 2, , (d) 9, , (d) 0 and 4, , Sol : www.cbse.site/ma/bm131, 32. The zeroes of the polynomial p ^x h = 4x2 - 12x + 9, will be, (a) 32 and 32, (b), (c), (d), , 2, 3, 2, 3, 1, 3, , 36. Zeroes of f ^x h = x2 - 2x are, (a) 2 and 4, , and, and, and, , 1, 3, 1, 3, 1, 3, , Sol : www.cbse.site/ma/bm132, 33. If - 1 is a zero of the polynomial f (x) = x2 - 7x - 8 ,, , Sol : www.cbse.site/ma/bm136, 37. The zeroes of the, 3 x2 - 8x + 4 3 are, (a) 2 3 and 3, (b) 2 3 and, (c), (d), , 1, 3, 2, 3, , and, , quadratic, , 1, 3, , 3, , and 2 3, , Sol : www.cbse.site/ma/bm137, , polynomial

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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , 38. If p and q are the zeroes of polynomial, f ^x h = 2x2 - 7x + 3 , the value of p2 + q2 will be, (a) 395, (b), (c), (d), , 5, 39, 37, 4, 4, 37, , Sol : www.cbse.site/ma/bm138, 39. The zeroes of polynomial p ^x h = ax2 + bx + c are, reciprocal of each other if, (a) b = 2a, (b) c = b, (c) b = a, (d) c = a, Sol : www.cbse.site/ma/bm139, 40. If a and b are the zeroes the polynomial 2x2 - 4x + 5,, the value of ^a - bh2 is, (a) 2, (b) 1, (c) - 1, (d) - 6, Sol : www.cbse.site/ma/bm140, 41. Select the quadratic polynomial whose zeroes, are reciprocals of the zeroes of the polynomial, f (x) = ax2 + bx + c , a ! 0 , c ! 0 ., (a) bx2 + ax + c, (b) ax2 + cx + b, (c) cx2 + bx + a, (d) bx2 + cx + a, , Page 21, , Direction For Question : (43-44), A teacher asked 10 of his students to write a, polynomial in one variable on a paper and then to, handover the paper. The following were the answers, given by the students :, 2x + 3 , 3x2 + 7x + 2 , 4x3 + 3x2 + 2 , x3 + 3x + 7,, 5x3 - 7x + 2 ,, 5x - 12 ,, 2x2 + 3 - x5 ,, 7x + 7 ,, 3, 2, 1, ax + bx + cx + d , x + x ., 43. How many of the above ten, are not polynomials?, (a) 2, (b) 3, (c) 4, (d) 5, Sol : www.cbse.site/ma/bm143, 44. How many of the above ten, are quadratic, polynomials?, (a) 1, (b) 2, (c) 3, (d) 4, Sol : www.cbse.site/ma/bm143, 45. Given that a and b are the zeroes of a quadratic, polynomial such that a + b = 24 and a - b = 8 ., Select the quadratic polynomial having a and b as, its zeroes., (a) x2 - 128x + 24, (b) x2 - 24x + 128, (c) x2 + 24x - 128, (d) x2 + 128x + 24, Sol : www.cbse.site/ma/bm144, , Sol : www.cbse.site/ma/bm141, 42. Which of the following are the zeroes of the, polynomial p ^x h = 2x3 - 11x2 + 17x - 6 ., (a) 2, , COMPETENCEY BASED QUESTIONS, , (b) 3, (c), , 1, 2, , (d) Above all, Sol : www.cbse.site/ma/bm142, , 46. R K Agrawal is designing a propylene tank in the, shape of a cylinder with hemispherical ends. If the, length of the cylinder is to be 20 unit larger than its, radius and the volume is to be 3321p cubic unit,

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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 22, then what is the radius?, , Polynomials, , Chap 2, , (b) 5x2 + 3x - 12, (c) x3 + x2 - 6x, (d) 4x2 + 2x + 4, Sol : www.cbse.site/ma/bm146, 49. If it must have a volume of 18 unit, what must be its, length and height ?, (a) 6 and 1, (b) 5 and 2, (c) 6 and 2, (d) 5 and 3, , (a) 5 unit, (b) 7 unit, , Sol : www.cbse.site/ma/bm146, , (c) 9 unit, (d) 13 unit, Sol : www.cbse.site/ma/bm145, , 50. If box is made of a paper sheet which cost is ` 100, per square unit, what is the cost of paper?, (a) ` 2100, (b) ` 4200, (c) ` 2800, , Direction For Question : (47-50), For the box to satisfy certain requirements, its length, must be three unit greater than the width, and its, height must be two unit less than the width., , (d) ` 5400, Sol : www.cbse.site/ma/bm146, , Direction For Question : (51-54), The volume of water in a rectangular, in-ground,, swimming pool is given by V (x) = x3 + 11x2 + 24x, where V (x) is the volume in cubic feet when the, water is x ft high., , 47. If width is taken as x , find the polynomial that, represent volume of box., (a) 6x2 + 4x - 12, (b) 5x2 + 3x - 12, (c) x3 + x2 - 6x, (d) 4x2 + 2x + 4, Sol : www.cbse.site/ma/bm146, 48. Find the polynomial that represent the area of paper, sheet used to make box., (a) 6x2 + 4x - 12, , 51. What is the dimension of base of pool?, (a) x + 3 and x + 8, (b) x + 4 and x + 7, (c) x + 4 and x + 8

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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , (d) x + 3 and x + 7, Sol : www.cbse.site/ma/bm147, , Page 23, , 56. What is the total volume if x is 10 inches?, (a) 1468 in3, (b) 2744 in3, (c) 1972 in3, , 52. What is the volume of pool when x = 3 ft?, (a) 298 ft3, (b) 148 ft3, , (d) 2146 in3, Sol : www.cbse.site/ma/bm148, , (c) 268 ft3, (d) 198 ft3, Sol : www.cbse.site/ma/bm147, 53. If the volume is 100 ft 3 of water, what is the height, x?, (a) 2 ft, , Direction For Question : (57-58), A metalworker makes an overflow pan by cutting, equal squares with sides of length x from the corners, of a 30 cm by 20 cm piece of aluminium, as shown, in the figure. The sides are then folded up and the, corners sealed., , (b) 3 ft, (c) 4 ft, (d) 5 ft, Sol : www.cbse.site/ma/bm147, 54. If the maximum capacity of the pool is 520 ft 3 what, is the maximum depth?, (a) 2 ft, (b) 3 ft, , 57. Which of the following polynomial function V (x), gives the volume of the pan?, (a) 4x 3 - 60x 2 + 450x, (b) 4x 3 - 100x 2 + 600x, (c) 4x 3 - 50x 2 + 600x, , (c) 4 ft, (d) 5 ft, , (d) 4x 3 - 60x 2 + 500x, , Sol : www.cbse.site/ma/bm147, , Sol : www.cbse.site/ma/bm149, , Direction For Question : (55-56), Frozen specimens are stored in a cubic metal box, that is x inches on each side. The box is surrounded, by a 2 inch thick layer of foam insulation., 55. Which of the following polynomial function V (x), gives the total volume in cubic inches for the box, and insulation?, (a) x 3 + 48x 2 + 12x + 32, (b) x 3 + 48x 2 + 12x + 64, 3, , 2, , (c) x + 12x + 48x + 64, (d) x 3 + 12x 2 + 48x + 32, Sol : www.cbse.site/ma/bm148, , 58. What is volume of the pan if the height is 6 cm?, (a) 518 cm3, (b) 746 cm3, (c) 648 cm3, (d) 864 cm3, Sol : www.cbse.site/ma/bm149, , Direction For Question : (59-60), Suppose that the pan in previous example is formed, from a square piece of aluminium that is 30 cm on, each side., 59. Which of the following polynomial function V (x)

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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 24, , Polynomials, , gives the volume in cubic cm?, (a) 4x 3 - 120x 2 + 900x, , (b) 146 thousand cubic meter per second, , (b) 4x 3 - 900x 2 + 600x, , (d) 216 thousand cubic meter per second, , 3, , Chap 2, , (c) 246 thousand cubic meter per second, , 2, , (c) 4x + 120x + 600x, (d) 4x 3 - 900x 2 + 300x, Sol : www.cbse.site/ma/bm150, 60. The cost is Rs 5 per square cm of aluminum used in, the finished pan. Which of the following polynomial, function C (x) gives the cost?, (a) 20x2 + 2500, (b) 20x2 + 3500, (c) 20x2 + 4500, 2, , (d) - 20x + 4500, Sol : www.cbse.site/ma/bm150, , Direction For Question : (61-62), The discharge rate of a river is a measure of the, river’s water flow as it empties into a lake, sea,, or ocean. The rate depends on many factors, but, is primarily influenced by the precipitation in the, surrounding area and is often seasonal., , Suppose, the, discharge, rate, of, the, Brhamputra, River, was, modelled, by, D (m) =- m 4 + 22m 3 - 147m2 + 317m + 150 w h e r e, D (m) represents the discharge rate in thousands of, cubic meters of water per second in month m ., ( m = 1 " Jan, m = 2 " Feb ), 61. What was the discharge rate in June (summer heat), ?, (a) 166 thousand cubic meter per second, , Sol : www.cbse.site/ma/bm151, 62. Is the discharge rate higher in June or October?, (a) The discharge rate in October is 420 thousand, cubic meter per second which is much higher, than discharge in June., (b) The discharge rate in October is 120 thousand, cubic meter per second which is much lower than, discharge in June., (c) The discharge rate in October is 620 thousand, cubic meter per second which is much higher, than discharge in June., (d) The discharge rate in October is 60 thousand, cubic meter per second which is much lower than, discharge in June., Sol : www.cbse.site/ma/bm151, , Direction For Question : (63-65), A company makes rectangular shaped bird cages with, height b inches and square bottoms. The volume of, these cages is given by the function V = b3 - 6b2 + 9b

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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , 63. Which of the following expression the length of each, side of the square bottom?, (a) (b - 2), (b) (b - 3), , Page 25, , 66. If we let the thickness be x inches, select the, polynomial function V (x) that gives the total volume., (a) x 3 + 30x 2 + 11x, (b) x 3 + 11x 2 + 30x, , (c) (b - 4), (d) (b - 5), , (c) x 3 + 15x 2 + 20x, , Sol : www.cbse.site/ma/bm152, , Sol : www.cbse.site/ma/bm153, , (d) x 3 + 20x 2 + 15x, , 64. What is the volume of a cage with a height of 18, inches?, (a) 3050 in2, , 67. If such a box is to have a volume of 112 inches3, then, what should the thickness be?, (a) 1 inch, , (b) 2050 in2, , (b) 2 inch, , (c) 1050 in, , (c) 3 inch, , (d) 4050 in, , (d) 4 inch, , Sol : www.cbse.site/ma/bm152, , Sol : www.cbse.site/ma/bm153, , 2, 2, , 65. What is the volume of a cage with a height of 15, inches?, (a) 2160 in2, (b) 2250 in2, (c) 1150 in2, , 68. The number of soda cans S needed to build a square, pyramid display with n levels is given by the, function L (n) = 13 n 3 + 12 n2 + 16 n . How many soda, cans needed to build a square pyramid display with, n = 6 levels?, , (d) 4350 in2, Sol : www.cbse.site/ma/bm152, Direction For Question : (66-67), An independent marketing research agency has, determined that the best box for breakfast cereal has, a height that is 6 inches larger than its thickness and, a width that is 5 inches larger than its thickness., , (a) 16, (b) 72, (c) 75, (d) 91, Sol : www.cbse.site/ma/bm154, , Direction For Question : (69-70), A bulk dog food storage bin with dimensions 2 feet by, 3 feet by 4 feet needs to be increased in size to hold, five times as much food as the current bin. Assume

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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 26, , Polynomials, , Chap 2, , each dimension is increased by the same amount., , 71. Since Profit = Revenue - Cost , the profit function, would be, (a) - x2 + 210x - 2400, (b) - x2 + 210x - 7400, (c) - x2 + 310x - 7400, (d) - x2 - 310x + 7400, 69. Let x be the amount by which dimension is increased., Write of the following function represents the volume, of the new bin?, (a) x 3 + 36x 2 + 12x + 16, 3, , 2, , (b) x + 16x + 9x + 16, (c) x 3 + 26x 2 + 9x + 24, (d) x 3 + 9x 2 + 26x + 24, , Sol : www.cbse.site/ma/bm156, 72. How many bottles sold will produce the maximum, profit?, (a) 125, (b) 155, (c) 175, , Sol : www.cbse.site/ma/bm155, 70. What is the dimensions of the new bin?, (a) 4 feet, 5 feet and 5 feet., (b) 5 feet, 6 feet and 7 feet., (c) 4 feet, 5 feet and 6 feet., (d) 5 feet, 5 feet and 6 feet., , (d) 185, Sol : www.cbse.site/ma/bm156, 73. What is the maximum profit?, (a) Rs 14625, (b) Rs 16625, (c) Rs 22645, , Sol : www.cbse.site/ma/bm155, , (d) Rs 14685, Sol : www.cbse.site/ma/bm156, , Direction For Question : (71-74), The cost to produce bottled spring water is given, by C (x) = 16x - 63 where x is the number of, thousands of bottles. The total income (revenue), from the sale of these bottles is given by the function, R (x) =- x2 + 326x - 7463 ., , 74. What is the profit when 245 thousand bottles are, sold?, (a) Rs 8525, (b) Rs 9225, (c) Rs 12645

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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, (d) Rs 10685, Sol : www.cbse.site/ma/bm156, 75. A bride-to-be has many girlfriends, but she has, decided to have only five bridesmaids, including, the maid of honor. The number of different ways n, girlfriends can be chosen and assigned a position,, such as maid of honor, first bridesmaid, second, bridesmaid, and so on, is given by the polynomial, function, S (n) = n5 - 10n 4 + 35n 3 - 50n2 + 8n n $ 5, , Polynomials, , Page 27, , 76. Which of the following is correct polynomial for the, volume of remaining solid?, (a) x3 + x2 - 10x - 8, (b) x3 + x2 - 10x + 8, (c) x3 + x2 + 10x + 8, (d) x3 + x2 + 10x - 8, Sol : www.cbse.site/ma/bm158, 77. What is the volume of remaining solid at x = 8 inch?, (a) 432 cubic inch, (b) 648 cubic inch, (c) 712 cubic inch, (d) 568 cubic inch, Sol : www.cbse.site/ma/bm158, 78. What is the volume of remaining solid at x = 10, inch?, (a) 1242 cubic inch, (b) 1458 cubic inch, , How many ways the bride can select her bridesmaids, if she chooses from n = 5 girlfriends?, (a) 40, , (c) 1712 cubic inch, , (b) 45, , Sol : www.cbse.site/ma/bm158, , (d) 1192 cubic inch, , (c) 25, (d) 18, Sol : www.cbse.site/ma/bm157, , Direction For Question : (76-78), A cuboidal solid of base x by x + 1 is shown in, figure. Height of original solid is x + 2 . A small, cuboidal solid of base x - 2 by x - 2 and height 2 is, cut from this solid as shown in figure., , Direction For Question : (79-83), RK Fabricators has got a order for making a frame, for machine of their client. For which, they are, using a AutoCAD software to create a constructible, model that includes the relevant information such as, dimensions of the frame and materials needed., , The frame will have a solid base and will be cut out

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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 28, of a piece of steel. The final area of the frame should, be 54 sq m. The digram of frame is shown below., , Polynomials, , Chap 2, , Sol : www.cbse.site/ma/bm159, 83. What is the perimeter of the frame?, (a) 36 m, (b) 42 m, (c) 45 m, (d) 39 m, , In order to input the right values in the AutoCAD, software, the engineer needs to calculate some basic, values., 79. What are the dimensions of the outer frame ?, (a) (10 + x) and (5 + x), (b) (10 - x) and (5 - x), (c) (10 + 2x) and (5 + 2x), (d) (10 - 2x) and (5 - 2x), Sol : www.cbse.site/ma/bm159, , Sol : www.cbse.site/ma/bm159, , Direction For Question : (84-88), The Prime Minister’s Citizen Assistance and Relief, in Emergency Situations Fund was created on 28, March 2020, following the COVID-19 pandemic in, India. The fund will be used for combating, and, containment and relief efforts against the coronavirus, outbreak and similar pandemic like situations in the, future., , 80. A metal sheet of minimum area is used to make the, frame. What should be the minimum area of metal, sheet before cutting ?, (a) 4x2 + 30x + 50, (b) x2 + 27x + 55, (c) 5x2 + 30, (d) 4x2 + 50, Sol : www.cbse.site/ma/bm159, 81. What is the area of required final metal frame ?, (a) 4x2 + 30x + 50 m2, (b) x2 + 27x + 55 m2, (c) 4x2 + 50x m2, (d) 4x2 + 30x m2, Sol : www.cbse.site/ma/bm159, 82. If the area of the frame is 54 sq m, what is the value, of x ?, (a) 0.75 m, (b) 3.0 m, (c) 1.5 m, (d) 1.8 m, , The allotment officer is trying to come up with a, method to calculate fair division of funds across, various affected families so that the fund amount, and amount received per family can be easily, adjusted based on daily revised numbers. The total, fund allotted for a village is x3 + 6x2 + 20x + 9 . The, officer has divided the fund equally among families, of the village and each family receives an amount of, x2 + 2x + 2 . After distribution, some amount is left., 84. How many families are there in the village?, (a) x + 4, (b) x - 3, (c) x - 4, (d) x + 3

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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , Page 29, , Sol : www.cbse.site/ma/bm160, 85. If an amount of, is value of x ?, (a) 190, , < 1911 is left after distribution, what, , (b) 290, (c) 191, (d) 291, Sol : www.cbse.site/ma/bm160, 86. How much amount does each family receive?, (a) 24490, (b) 34860, (c) 22540, (d) 36865, Sol : www.cbse.site/ma/bm160, 87. What is the amount of fund allocated?, (a) ` 72 72 759, (b) ` 75 72 681, (c) ` 69 72 846, (d) ` 82 74 888, Sol : www.cbse.site/ma/bm160, , Based on this model answer the following questions:, 89. When no barrels are produce what is a profit loss?, (a) ` 22000, (b) ` 66000, (c) ` 11000, (d) ` 33000, Sol : www.cbse.site/ma/bm161, 90. What is the break even point ? (Zero profit point is, called break even), (a) 10 barrels, (b) 30 barrels, (c) 20 barrels, (d) 100 barrels, , 88. How many families are there in the village?, (a) 191, , Sol : www.cbse.site/ma/bm161, , (b) 98, (c) 187, (d) 195, Sol : www.cbse.site/ma/bm160, , 91. What is the profit/loss if 175 barrels are produced, (a) Profit 266200, (b) Loss 266200, (c) Profit 240250, (d) Loss 240250, , Direction For Question : (89-93), An barrels manufacturer can produce up to 300, barrels per day. The profit made from the sale of, these barrels can be modelled by the function, P (x) =- 10x2 + 3500x - 66000 where P (x) is the, profit in rupees and x is the number of barrels made, and sold., , Sol : www.cbse.site/ma/bm161, 92. What is the profit/loss if 400 barrels are produced, (a) Profit ` 466200, (b) Loss ` 266000, (c) Profit ` 342000, (d) Loss ` 342000

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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 30, Sol : www.cbse.site/ma/bm161, 93. What is the maximum profit which can manufacturer, earn?, (a) ` 240250, , Polynomials, , Chap 2, , Sol : www.cbse.site/ma/bm162, 96. How long will the ball take to hit the ground?, (a) 4 seconds, (b) 3 seconds, , (b) ` 480500, , (c) 5 seconds, , (c) ` 680250, , (d) 6 seconds, , (d) ` 240250, Sol : www.cbse.site/ma/bm162, Sol : www.cbse.site/ma/bm161, , Direction For Question : (94-98), Lavanya throws a ball upwards, from a rooftop,, which is 20 m above from ground. It will reach a, maximum height and then fall back to the ground., The height of the ball from the ground at time t is h, , which is given by h =- 4t2 + 16t + 20 ., , 97. What are the two possible times to reach the ball at, the same height of 32 m?, (a) 1 and 3 seconds, (b) 1 and 4 seconds, (c) 1 and 2 seconds, (d) 1 and 5 seconds, Sol : www.cbse.site/ma/bm162, 98. Where is the ball after 5 seconds ?, (a) at the ground, (b) rebounds, (c) at highest point, (d) fall back, Sol : www.cbse.site/ma/bm162, , 94. What is the height reached by the ball after 1 second?, (a) 64 m, (b) 128 m, (c) 32 m, (d) 20 m, Sol : www.cbse.site/ma/bm162, 95. What is the maximum height reached by the ball?, (a) 54 m, (b) 44 m, (c) 36 m, (d) 18 m, , Direction For Question : (99-103), Pyramid, in architecture, a monumental structure, constructed of or faced with stone or brick and, having a rectangular base and four sloping triangular, sides meeting at an apex. Pyramids have been built, at various times in Egypt, Sudan, Ethiopia, western, Asia, Greece, Cyprus, Italy, India, Thailand, Mexico,, South America, and on some islands of the Pacific, Ocean. Those of Egypt and of Central and South, America are the best known.

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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, (b), (c), (d), , Page 31, 2, 5, 5, 24, 24, 5, , Sol : www.cbse.site/ma/bm163, 103. What is surface area of pyramid ?, (a) 800 m2, (b) 2400 m2, (c) 1200 m2, (d) 1600 m2, The volume and surface area of a pyramid with a, square base of area a2 and height h is given by, ha2, 2, V = 3 and S = a2 + 2a ^ a2 h + h2, A pyramid has a square base and a volume of, 3y 3 + 18y2 + 27y cubic units., 99. If its height is y , then what polynomial represents, the length of a side of the square base ?, (a) 9 (y + 3), (b) 9 (y + 3) 2, (c) 3 (y + 3), (d) 3 (y + 3) 2, , Sol : www.cbse.site/ma/bm163, , Direction For Question : (104-108), Underground water tank is very popular in India., It is usually used for large water tank storage and, can be built cheaply using cement-like materials., Underground water tank are typically chosen by, people who want to save space. The water in the, underground water tank is not affected by extreme, weather conditions. The underground water tank, maintain cool temperatures in both winter and, summer., , Sol : www.cbse.site/ma/bm163, 100. If area of base is 576 metre, what is the side of base?, (a) 24 metre, (b) 16 metre, (c) 13 metre, (d) 12 metre, Sol : www.cbse.site/ma/bm163, 101. What is the height of pyramid at above area of base?, (a) 4 metre, (b) 6 metre, (c) 5 metre, (d) 12 metre, Sol : www.cbse.site/ma/bm163, 102. What is the ratio of length of side to the height ?, (a) 15, , A builder wants to build a tank to store water in an, apartment. The volume of the rectangular tank will, be modelled by V (x) = x 3 + x2 - 4x - 4 ., 104. He planned in such a way that its base dimensions, are (x + 1) and (x + 2) . How much he has to dig ?, (a) (x + 1), (b) (x - 2), (c) (x - 3)

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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 32, , Polynomials, , Chap 2, , (d) (x + 2), , (d) - 45, , Sol : www.cbse.site/ma/bm164, , Solution is given in hard book., , 105. If x = 4 meter, what is the volume of the water tank?, (a) 30 m3, (b) 20 m3, (c) 15 m3, , 110. The sum and product of zeroes of a quadratic, polynomial are 6 and 9 respectively. The quadratic, polynomial will be, (a) x2 + 9x - 6, , (d) 60 m3, , (b) x2 + 6x + 9, , Sol : www.cbse.site/ma/bm164, , (d) x2 + 6x - 9, , 106. If x = 4 and the builder wants to paint the entire, inner portion on the water tank, what is the total, area to be painted ?, (a) 52 m2, (b) 96 m2, , (c) x2 - 6x + 9, , Solution is given in hard book., 111. Select the quadratic polynomial whose sum and, product of a the zeroes are 218 and 165 respectively, (a) 16x2 - 42x + 5, , (c) 208 m2, , (b), , (d) 104 m2, , (c), (d), , 1, 16, 1, 12, 1, 12, , ^16x2 - 42x + 5h, ^16x2 + 42x + 5h, ^16x2 + 42x - 5h, , Sol : www.cbse.site/ma/bm164, Solution is given in hard book., 107. If the cost of paint is ` 25/ per square metre, what, is the cost of painting ?, (a) ` 3900, (b) ` 2600, , 112. Select the quadratic polynomial p ^x h with 3 and - 25, as sum and product of its zeroes, respectively., (a) x2 - 3x - 25, , (c) ` 1300, , (b) x2 - 3x - 2, , (d) ` 5200, , (c) 5x2 - 15x - 2, (d) 15x2 - 5x + 25, , Sol : www.cbse.site/ma/bm164, Sol : www.cbse.site/ma/bm212, 108. What is the storage capacity of this water tank ?, (a) 3000 litre, (b) 6000 litre, (c) 60000 litre, (d) 30000 litre, Sol : www.cbse.site/ma/bm164, 109. If a and b are the zeroes the polynomial 2x2 - 4x + 5,, the value of 12 + 12 is, a, b, (a) 254, (b) - 254, (c), , 4, 5, , 113. If m and n are the zeroes of the polynomial, 3x2 + 11x - 4 , then value of mn + mn will be, 12, (a) 145, 12, (b) - 145, , (c) - 145, 12, (d), , 145, 12, , Solution is given in hard book., 114. If - 1 is a zero of the polynomial p ^x h = kx2 - 4x + k, , the value of k is, (a) –4

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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , (b) –2, (c) 2, , the value of a2 + b2 is, (a) 2, , (d) 4, , (b) 1, , Page 33, , (c) - 1, (d) - 6, , Solution is given in hard book., 115. If a and b are the zeroes of a polynomial, x2 - 4 3 x + 3, then the value of a + b - ab will be, (a) 3 ^2 - 3 h, (b), , 3 ^2 +, , 3h, , 3 ^4 -, , 3h, , 3 ^4 +, , (c), (d), , 3h, , Solution is given in hard book., 120. If one zero of the polynomial 2x2 + 3x + l is 12 , what, is the value of l and the other zero?, (a) –2 and –2, (b) –3 and –3, (c) –2 and –3, (d) –3 and –2, , Solution is given in hard book., 116. If a and b are the zeroes of polynomial x2 + ax + b ,, the values of a and b are, (a) 1 and 2, (b) 1 and –2, (c) –2 and 1, (d) 2 and 1, , Solution is given in hard book., 121. If a and b are zeroes of the polynomial, f ^x h = x2 - x - k , such that a - b = 9 , the value of, k will be, (a) 20, (b) 30, (c) 60, , Solution is given in hard book., , (d) 18, 117. The zeroes of the quadratic polynomial x2 - 2 2 x, are, (a) 1 and 2 2, , Solution is given in hard book., 122. If a, b and g are zeroes of the polynomial, 6x3 + 3x2 - 5x + 1, then value of a-1 + b-1 + g-1 will, be, (a) 5, , (b) 0 and 2 2, (c) 0 and 1, (d) 1 and 2, , (b) 4, , Solution is given in hard book., , (c) 3, (d) 2, , 118. The zeroes of the quadratic polynomial 5x2 + 8x - 4, are, (a) –2 and 25, 5, 2, , (b) –3 and, (c) - 32 and, (d), , 1, 2, , and, , Solution is given in hard book., 123. When p ^x h = x2 + 7x + 9 is divisible by g ^x h , we, get ^x + 2h and - 1 as the quotient and remainder, respectively. The polynomial g ^x h will be, (a) x + 2, , 1, 2, , 3, 2, , Solution is given in hard book., , (b) x - 1, (c) x + 6, 2, , 119. If a and b are the zeroes the polynomial 2x - 4x + 5,, , (d) x + 5

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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 34, Solution is given in hard book., 124. Select, the, value, for, for, which, k, x 4 + 10x3 + 25x2 + 15x + k is exactly divisible by, x + 7., (a) –102, (b) –91, , Polynomials, , Chap 2, , such that a + b = 12 ab , value of k will be, (a) –2, (b) 0, (c) 3, (d) –5, Solution is given in hard book., , (c) –103, (d) –104, Solution is given in hard book., 125. On dividing the polynomial 4x 4 - 5x3 - 39x2 - 46x - 2, by the polynomial g ^x h , the quotient is x2 - 3x - 5, and the remainder is - 5x + 8 . The polynomial g ^x h, will be, (a) 2x2 + 7x + 1, (b) 2x2 - 7x + 2, (c) 4x2 + 7x + 2, (d) 2x2 + 7x + 1, Solution is given in hard book., 126. If the squared difference of the zeroes of the quadratic, polynomial f ^x h = x2 + px + 45 is equal to 144, the, value of p will be, (a) 21, (b) 18, , Direction For Question : (21-22), Polynomial x 4 + 7x3 + 7x2 + px + q is exactly divisible, by x2 + 7x + 12 ., 129. The value of p will be, (a) -35, (b) -25, (c) -15, (d) -60, Solution is given in hard book., 130. The value of q will be, (a) -35, (b) -25, (c) -15, (d) -60, Solution is given in hard book., , (c) –21, (d) –31, Solution is given in hard book., 127. If the zeroes of the polynomial x2 + px + q are double, in value to the zeroes of 2x2 - 5x - 3 , the value of p, and q will be, (a) –2 and –3, (b) –6 and –5, , 131. If a and b are the zeroes of the polynomial, satisfying, the, relation,, p ^x h = 2x2 + 5x + k, a2 + b2 + ab = 214 , then find the value of k ., (a) 4, (b) 3, (c) 2, (d) 1, Solution is given in hard book., , (c) –5 and –6, (d) –3 and –2, Solution is given in hard book., 128. If a and b are zeroes of x2 - ^k - 6h x + 2 ^2k - 1h ,, , Direction For Question : (132-133), Let a and b are the zeroes of polynomial, p ^x h = 3x2 + 2x + 1. Let a 1 and b 1 are zeroes of new, 1-b, ., polynomial q (x) where a 1 = 1 - a and b 1 =, 1+a, 1+b

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Buy hard book on amazon. For more details whatsapp at 8905629969, Chap 2, , Polynomials, , 132. Which of the following is the value of a 1 + b 1 ?, (a) 1, (b) 2, , Page 35, , Solution is given in hard book., 137. Which of the following is the polynomial q (x) ?, (a) 53 x2 - 165 x + 165, , (c) 3, (d) 4, , (b) 3x2 - 163 x + 163, , Solution is given in hard book., 133. Which of the following is the value of a 1 b 1 ?, (a) 1, (b) 2, , (c), (d), , 1, 3, 1, 5, , 2, ^3x - 16x + 16h, 2, ^3x - 16x + 16h, , Solution is given in hard book., 138. If a and b are zeroes of the polynomial, p (x) = 6x2 - 5x + k such that a - b = 16 , The value, of k will be, (a) 1, , (c) 3, (d) 4, Solution is given in hard book., , (b) 2, (c) 3, , 134. Which of the following is the polynomial q (x) ?, (a) x2 + 3x - 2, (b) x2 - 3x + 2, , (d) 4, Solution is given in hard book., , 2, , (c) x - 2x + 3, (d) x2 + 2x - 3, Solution is given in hard book., , Direction For Question : (135-136), Let a and b are the zeroes of polynomial x2 + 4x + 3, , Let a 1 and b 1 are zeroes of new polynomial q (x), where a 1 = 1 + ab and b 1 = 1 + ab ., 135. Which of the following is the value of a 1 + b 1 ?, 16, (a) 3, (b), , 16, 5, , (c), , 14, 3, , (d), , 14, 5, , Solution is given in hard book., , Direction For Question : (31-32), Let b and 1b are zeroes of the polynomial, 2, 2, ^a + a h x + 61x + 6a ., 139. The value of a will be, (a) 2, (b) 4, (c) 5, (d) 7, Solution is given in hard book., 140. The value of b will be, (a) 65, (b) - 56, (c) 5, (d) 7, , 136. Which of the following is the value of a 1 b 1 ?, 16, (a) 3, (b), , 16, 5, , (c), , 14, 3, , (d), , 14, 5, , Solution is given in hard book., 141. If a and b are the zeroes of the polynomial, f ^x h = x2 - 6x + k , such that a2 + b2 = 40 . The value, of k will be, (a) 0

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This PDF is review version of hard book available on Amazon. In hard book all solutions are given with question., Page 36, , Polynomials, , 146. Quadratic polynomial 2x2 - 3x + 1 has zeroes as, a and b . Which of the following is the quadratic, polynomial whose zeroes are 3a and 3b ?, (a) 2x + 9x - 9, , (b) –4, (c) –2, (d) –3, Solution is given in hard book., 142. If one of the zeroes of the quadratic polynomial, f ^x h = 14x2 - 42k2 x - 9 is negative of the other, the, value of k is, (a) 0, (c) 2, (d) 3, Solution is given in hard book., 143. If the sum and product of the zeroes of the polynomial, ax2 - 5x + c are equal to 10 each, the values of a and, c are, (a) 6 and 32, (c), , 3, 2, 1, 2, , (b) 2x - 9x + 9, (c) x2 - 92 x + 92, (d) x2 - 9x + 9, Solution is given in hard book., 147. If a and b are the zeroes of the polynomial, 6y2 - 7y + 2, Select the quadratic polynomial whose, zeroes are a1 and 1b ., (a) y2 + 7y + 6, , (b) 1, , (b), , Chap 2, , and 6, and 5, , (d) 5 and, , 1, 2, , (b) y2 + 7y - 6, (c) y2 - 7y + 6, (d) y2 - 3.5y + 3, Solution is given in hard book., 148. The zeroes of the polynomial 4x2 + 4x - 3 is/are, (a) 12, (b), , -3, 2, , (c) both, Solution is given in hard book., 144. If one the zero of a polynomial 3x2 - 8x + 2k + 1 is, seven times the other, the value of k will be, (a) 13, (b), (c), , 2, 3, 3, 2, , (d) 0, Solution is given in hard book., 145. If a and b are the zeroes the polynomial 2x2 - 4x + 5,, the value of 1 + 1 is, a b, (a) 254, (b) - 254, (c), , 4, 5, , (d) - 45, Solution is given in hard book., , (d) none, Solution is given in hard book., , ***********